72901692498432 has 320 divisors, whose sum is σ = 233908687457280. Its totient is φ = 19710240178176.

The previous prime is 72901692498431. The next prime is 72901692498469. The reversal of 72901692498432 is 23489429610927.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72901692498431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178957123 + ... + 179364029.

It is an arithmetic number, because the mean of its divisors is an integer number (730964648304).

Almost surely, 2^{72901692498432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72901692498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116954343728640).

72901692498432 is an abundant number, since it is smaller than the sum of its proper divisors (161006994958848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72901692498432 is a wasteful number, since it uses less digits than its factorization.

72901692498432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407831 (or 407815 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 72901692498432 in words is "seventy-two trillion, nine hundred one billion, six hundred ninety-two million, four hundred ninety-eight thousand, four hundred thirty-two".